We apply the KROM methodology to a switched anharmonic oscillator example. Additionally, we incorporate an additive Gaussian noise term to the action variables. The anharmonic oscillator was chosen due to its lack of point spectra other than the eigenvalue at 1 corresponding to the constant eigenfunctions. It can be shown [1]} that the rest of the spectrum is purely continuous with “eigenmeasures” \(\phi _j(I, \theta ) = e^{ij\theta }\delta (I - c)\)  supported on level-sets \({(c, \theta ) : \theta \in S^1}\)  of the action variable having eigenvalues \(e^{ict}\) . In this example, we wire a collection of these anharmonic oscillators together, periodically changing their wiring topology, and investigate our prediction algorithm on such a system. Below, we give the construction of the model.
